from research import *
s=begin(687,'Connect micro volume to the Actual/Rounded span','Which equation explains the matching12558→12600 structure across scales?',{'micro_count':F(69,2),'calendar':364,'Actual_pair':[14004,1446],'Rounded_pair':[14006,1406]},['Supplement A §6; File52c latest; C631 Actual/Rounded interface'])
micro=F(69,2)*364; actual=14004-1446; rounded=14006-1406
finish(s,{'micro_volume_days':micro,'Actual_elapsed_years':actual,'J_completed_numeric':J*micro,'Rounded_elapsed_years':rounded,'identity':'J(364s)=360P(s)'},'The micro volume34.5×364 and Actual cumulative interval share the numerical input12558. Their12600 completion follows from364J=360P. This is a common conversion structure across distinct units; the Rounded14006/1406 pair supplies its own endpoint realization.','Determine why the alternative12740 register is a different calendar choice.',{'shared_input':micro==actual==12558,'completion':J*micro==rounded==12600,'identity':J*364==P*360})